SAUM Additional Online Case Studies & Appendices

 


Using Practice Test in Assessment of Teacher Preparation Program

Jerzy Mogilski, Jorge E. Navarro, Zhong L. Xu [1]

University of Texas at Brownsville and Texas Southmost College


Appendix A:  Benchmark Results Grouped by Competencies

DOMAIN

COMPETENCY

97 - 02

Mathematical Foundations

001- Formal and informal reasoning

64%

002- Mathematical language and communications

69%

003- Nature and purpose of axiomatic systems

63%

004- Approaches to problems solving

61%

005- State and national curriculum standards

58%

Algebra

006- Prealgebraic concepts

78%

007- Principles and properties of algebraic functions

65%

008- Applications of linear models

60%

009- Graphic representation of linear relations

67%

010- Algebraic solutions of linear relations

73%

011- Applications  of quadratic models

61%

012- Graphic representation of quadratic relations

69%

013- Algebraic solutions of quadratic relations

59%

014- Applications of polynomial, rational, absolute value, exponential, and logarithmic models 

58%

015- Graphic representation of polynomial, rational, radical, absolute value, exponential, and logarithmic functions

75%

016- Algebraic solutions of polynomial, rational, radical, absolute value, exponential, and logarithmic functions

68%

017- Applications of technology to algebraic problem solving

75%

Geometry

018- Principles and properties of synthetic geometry

63%

019- Applications of synthetic geometry to solve problems

58%

020- Techniques of synthetic geometry to solve problems

64%

021- Principles and properties of coordinate geometry

54%

022- Applications of coordinate geometry to solve problems

75%

023- Techniques of coordinate geometry to solve problems

54%

024- Connections among coordinate, synthetic vector, and transformational geometry

56%

025- Applications of vector and transformational techniques to solve problems

61%

026- Applications of technology to geometric problem solving

49%

Trigonometry, Analytic Geometry, Elementary Analysis, Calculus

027- Principles and properties of trigonometric, logarithmic, and exponential functions

60%

028- Applications of trigonometry to solve problems

56%

029- Principles and properties of analytic geometry

63%

030- Applications of analytic geometry to solve problems

52%

031- Properties and applications of rational functions

56%

032- Understanding and applications of sequences, series, and summations

54%

033- Conceptual understanding of differential and integral calculus

35%

034- Applications of differential and integral calculus

38%

035- Applications of technology to relationships involving change

49%

Probability, Statistics, Discrete Mathematics

036- Principles and properties of probability and statistics

42%

037- Applications of probability and statistics to solve problems

72%

038- Applications of technology to probability and statistics

38%

039- Principles and properties of discrete mathematics

58%

040- Applications of discrete mathematics to solve problems

54%

041- Applications of the mathematics of finance to solve problems

55%



[1] This study was partially supported by the UTB Research Enhancement Grant and the NASA Minority University Mathematics, Science & Technology Awards for Teacher Education Program